{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import tree\n",
    "from sklearn.ensemble import AdaBoostClassifier\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.datasets import make_gaussian_quantiles\n",
    "from sklearn.metrics import classification_report\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征\n",
    "x1, y1 = make_gaussian_quantiles(n_samples=500, n_features=2,n_classes=2)\n",
    "# 生成2维正态分布，生成的数据按分位数分为两类，400个样本,2个样本特征均值都为3\n",
    "x2, y2 = make_gaussian_quantiles(mean=(3, 3), n_samples=500, n_features=2, n_classes=2)\n",
    "# 将两组数据合成一组数据\n",
    "x_data = np.concatenate((x1, x2))\n",
    "y_data = np.concatenate((y1, - y2 + 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IyHr27dtFzZo1mTFjBo8++gZFRQOQk5cnCAo6RU7OaYKDg3G5XDRt2orU1HC8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pvcGehPWjY0VD766CPZt2+fbNu2TebMmSMbN24UERGfzydWi0VePKcfZuuQEKlcoYJEOBzSsHZt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\ng8FgKAX8fytpsbfiKXVNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x189283dec18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\numpy\\ma\\core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "D:\\Anaconda\\lib\\site-packages\\numpy\\ma\\core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": 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JyNgkkDp9nhnDt4Qo5vdl7lSO2cJfsDiOfPmNKEfcD9eeiyXu3wZ2DUuLSguR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\nj6cA8eLt8Xg8Bcj/A241JPOWpUXAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1892562c198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 决策树模型\n",
    "model = tree.DecisionTreeClassifier(max_depth=3)\n",
    "\n",
    "# 输入数据建立模型\n",
    "model.fit(x_data, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "z = model.predict(np.c_[xx.ravel(), yy.ravel()])# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.76700000000000002"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 模型准确率\n",
    "model.score(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda\\lib\\site-packages\\numpy\\ma\\core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "D:\\Anaconda\\lib\\site-packages\\numpy\\ma\\core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": 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L6gxYXo/cCb/iqEc1oRRlUPyAsjdOY+Pp51ch8quHvOBslAq3GhFGGk1h/xnSl112yfmI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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x189283dee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AdaBoost模型\n",
    "model = AdaBoostClassifier(DecisionTreeClassifier(max_depth=3),n_estimators=10)\n",
    "# 训练模型\n",
    "model.fit(x_data, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# 获取预测值\n",
    "z = model.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98199999999999998"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 模型准确率\n",
    "model.score(x_data,y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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